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2156435460 = 22355443711
BaseRepresentation
bin1000000010001000…
…1001100000000100
312120021201021100000
42000202021200010
513404021413320
6553551521300
7104303253564
oct20042114004
95507637300
102156435460
11a07284973
12502229230
132849ba51a
1416657ada4
15c94b3c90
hex80889804

2156435460 has 72 divisors (see below), whose sum is σ = 6783469056. Its totient is φ = 575048160.

The previous prime is 2156435459. The next prime is 2156435473. The reversal of 2156435460 is 645346512.

2156435460 is a `hidden beast` number, since 2 + 1 + 5 + 643 + 5 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216996 + ... + 226715.

It is an arithmetic number, because the mean of its divisors is an integer number (94214848).

Almost surely, 22156435460 is an apocalyptic number.

2156435460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2156435460 is an abundant number, since it is smaller than the sum of its proper divisors (4627033596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2156435460 is a wasteful number, since it uses less digits than its factorization.

2156435460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443735 (or 443721 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2156435460 is about 46437.4359757298. The cubic root of 2156435460 is about 1291.9493513423.

The spelling of 2156435460 in words is "two billion, one hundred fifty-six million, four hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 443711 887422 1331133 1774844 2218555 2662266 3993399 4437110 5324532 6655665 7986798 8874220 11980197 13311330 15973596 19966995 23960394 26622660 35940591 39933990 47920788 59900985 71881182 79867980 107821773 119801970 143762364 179702955 215643546 239603940 359405910 431287092 539108865 718811820 1078217730 2156435460